Least Common Multiple of 7424 and 7431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7424 and 7431 the smallest integer that is 55167744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7424 and 7431 is 55167744.

LCM(7424,7431) = 55167744

LCM of 7424 and 7431

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7424 and 7431

LCM of 7424 and 7431 is 55167744

Least common multiple can be found by multiplying the highest exponent prime factors of 7424 and 7431. First we will calculate the prime factors of 7424 and 7431.

Prime Factorization of 7424


2 7424
2 3712
2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 7424 are 2,29. Prime factorization of 7424 in exponential form is:

7424 = 28×291

Prime Factorization of 7431


3 7431
2477 2477
1

Prime factors of 7431 are 3,2477. Prime factorization of 7431 in exponential form is:

7431 = 31×24771

Now multiplying the highest exponent prime factors to calculate the LCM of 7424 and 7431.

LCM(7424,7431) = 28×31×291×24771
LCM(7424,7431) = 55167744

Factors of 7424

List of positive integer factors of 7424 that divides 7424 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1, 3, 2477, 7431

Least Common Multiple of 7424 and 7431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7424 and 7431, than apply into the LCM equation.

GCF(7424,7431) = 1
LCM(7424,7431) = ( 7424 × 7431) / 1
LCM(7424,7431) = 55167744 / 1
LCM(7424,7431) = 55167744

Properties of LCM 7424 and 7431

(i) The LCM of 7431 and 7424 is associative

LCM of 7424 and 7431 = LCM of 7431 and 7424

Related Least Common Multiples of 7424

Related Least Common Multiples of 7431

Frequently Asked Questions on LCM of 7424 and 7431

1. What is the LCM of 7424 and 7431?

Answer: LCM of 7424 and 7431 is 55167744.

2. What are the Factors of 7424?

Answer: Factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424. There are 18 integers that are factors of 7424. The greatest factor of 7424 is 7424.

3. What are the Factors of 7431?

Answer: Factors of 7431 are 1, 3, 2477, 7431. There are 4 integers that are factors of 7431. The greatest factor of 7431 is 7431.

4. How to Find the LCM of 7424 and 7431?

Answer:

Least Common Multiple of 7424 and 7431 = 55167744

Step 1: Find the prime factorization of 7424

7424 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 7431

7431 = 3 x 2477

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 55167744 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 2477

Step 4: Therefore, the least common multiple of 7424 and 7431 is 55167744.